Question

Determina numerele a ,b , c stiind ca a/3 = b/4 ; b/5=c/6 ; a+b+c=177.

Answer 1

a/3=b/4=>a=3b/4
b/5=c/6=>c=6b/5

Inlocuim:
3b/4+b+6b/5=177
N.C=20
15b+20b+24b=3540
59b=3540 I:59
     b=    60
=>a=3*60/4=45
     c=6*60/5=72

Answer 2

$\frac{a}{3}= \frac{b}{4} \\ \\ a= \frac{3b}{4} \\ \\ \frac{b}{5} = \frac{c}{6} \\ \\ c= \frac{6b}{5} \\ \\ a+b+c=177 \\ \\ 15b+20b+24b=3540 \\ \\ 59b=3540 \\ \\ b=60 \\ \\ a= \frac{3b}{4} = \frac{180}{4} =45 \\ \\ c=\frac{6b}{5} = \frac{360}{5}=72$